Question

DIO

Answer?
St
Che
The nth term of a sequence is n²+ a.
The 6th term of the sequence is 29
Find the sum of the first 4 terms.

Answer 1

The nth term of the sequence is n²+ a. The 6th term of the sequence is 29. To find the sum of the first 4 terms, we need to determine the value of a and then calculate the individual terms and sum them.

Step-by-step explanation:

The nth term of the sequence is given by n²+ a. We are told that the 6th term of the sequence is 29. We can use this information to solve for a. 6² + a = 29. Solving for a, we get a = 29 - 36 = -7.

Now that we know a, we can find the sum of the first 4 terms of the sequence. The first term is 1² + (-7) = -6. The second term is 2² + (-7) = -3. The third term is 3² + (-7) = 2. And the fourth term is 4² + (-7) = 9. Summing these terms, we get -6 + (-3) + 2 + 9 = 2.

Answer 2

2

Step-by-step explanation:

Seq. nth term, sum

The nth term of a sequence is n^2+ a

The 6th term of the sequence is 29

Find the sum of the first 4 terms

We are given that the nth term of the sequence is n^2 + a.

To find the value of 'a', we can use the fact that the 6th term of the sequence is 29.

Substituting n = 6 in the expression for the nth term, we get:

6^2 + a = 29

Simplifying this equation, we get:

a = 29 - 6^2

a = -7

So, the expression for the nth term of the sequence is:

n^2 - 7

Now, we need to find the sum of the first 4 terms of the sequence.

The first term of the sequence is given by substituting n = 1 in the expression for the nth term:

1^2 - 7 = -6

The second term of the sequence is given by substituting n = 2:

2^2 - 7 = -3

The third term of the sequence is given by substituting n = 3:

3^2 - 7 = 2

The fourth term of the sequence is given by substituting n = 4:

4^2 - 7 = 9

Therefore, the sum of the first 4 terms of the sequence is:

-6 + (-3) + 2 + 9 = 2